On Lambda Function and a Quantification of Torhorst Theorem

Li Feng, Jun Luo, Xiao-Ting Yao

To any compact $K\subset \hat{\mathbb{C}}$ we associate a map ${\lambda }_K:\hat{\mathbb{C}}\to \mathbb{N}\cup \{\infty \}$ -- the lambda function of $K$ -- such that a planar continuu…